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Finding the Third Proportional to 986,443,600 and 2,146,541,561

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Solution

The third proportional to 986,443,600 and 2,146,541,561 is: 4,670,962,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,443,600 : 2,146,541,561 = 2,146,541,561 : x
  2. Step 2: Convert to fraction form
    986,443,600/2,146,541,561 = 2,146,541,561/x
  3. Step 3: Cross multiply
    986,443,600x = 2,146,541,561 × 2,146,541,561
  4. Step 4: Simplify right side
    986,443,600x = 4,607,640,673,100,316,672
  5. Step 5: Solve for x
    x = 4,607,640,673,100,316,672/986,443,600
  6. Step 6: Final answer
    x = 4,670,962,103.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.